演講公告

演講主題：The Spherical Piston Problem
主講人：連文璟教授(成功大學數學系)
演講日期：97年12月30日(星期二)<br>下午2:00-3:00
演講地點：(光復校區)科學一館223室
茶會時間：當天下午1:30於科學一館205室
摘要內容：
The mathematical formulation of the problem of the nuclear explosion and its theoretical analysis has always been a challenging task. It is an important topic either in applied math or physics. A simple way to simulate an explosion is to view it as a spherical piston motion, pushing out undisturbed air ahead of it. In the motion, shocks are produced. Mathematically, the continuous flow behind the shock is governed by the equations of gas dynamics. And along the shock trajectory, the theory of shocks imposes boundary conditions on the given system. Its nonlinear studies were initiated by G. I. Taylor, John Von Neumann and many other bright minds.
In this talk, I will give a brief introduction about some interesting problems. Then based on the observations of G. I.Taylor, self-similar solutions will be analyzed. In particular, the relation between the shock Mach number and the velocity of the piston is derived. By constructing suitable approximation schemes using self-similar solutions as building blocks, the propagation of the shock wave can be investigated.

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